Work done on a superconductor

A superconducting (zero resistance) ring of radius R=2 cmR=2~\mbox{cm} and self inductance L=0.5 nHL=0.5~\mbox{nH} is located in a region of zero magnetic field. A current I0=0.1 AI_{0}=0.1~\mbox{A} circulates around the ring as shown in the figure below. What minimum work in Joules must be done on the ring to fully immerse it in a region with a uniform magnetic field B=0.1 TB=0.1~\mbox{T} (directed into the page)?

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